the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75
<u>Step-by-step explanation:</u>
Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.
Let the cost of each pound of trail mix is $y.
and the cost of each pound of jelly beans is $x.
According to question,
For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.
⇒ 
→ (1)
For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23
⇒ 
→ (2)
Solving (1) and (2), we get
3(1 equation)-(2 equation)=0
⇒
⇒
hence,
⇒
⇒
Putting in we get ;
⇒
⇒ 
⇒ 
⇒ 
Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .
The solution of the equation is 
Step-by-step explanation:
To simplify an equation of x
- Simplify each side of the equation
- Collect x in side and the numerical terms in the other side
- Find the value of x
∵ The equation is 
- Multiply all terms of the equation by 4 to cancel the denominator
of the 2nd term in the left hand side
∵ The equation is 
∴ 8x + (1 - x) = 12
∴ 8x + 1 - x = 12
- Add like terms
∴ (8x - x) + 1 = 12
∴ 7x + 1 = 12
- Subtract 1 from both sides
∴ 7x = 11
- Divide both sides by 7
∴
The solution of the equation is
Learn more:
You can learn more about the solution of an equation in brainly.com/question/11306893
#LearnwithBrainly
Volume for a cone is 1/3 pi * r^2*h, where r is radius and h is height. We have diameter = 1/2 radius. Thus, radius = 1.5in. We also have volume is 12 in. Using formula for volume of a cone and plugging in what we know, we have 12 = 1/3*pi*(1.5)^2*h, were solving for h. To get, h= (12*3)/(pi*(1.5)^2), which is approximately 5.0931in, 5 inches
Answer:
4/7 greater
Step-by-step explanation:
5/7-1/7=4/7
Answer:
c. -3
Step-by-step explanation:
- 7x + 6= 27 [subtract 6 from both sides]
-7x = 21 [divide by -7 to isolate x]
x = -3
